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  2. Python syntax and semantics - Wikipedia

    en.wikipedia.org/wiki/Python_syntax_and_semantics

    This allows for many radical things to be done syntactically within Python. A new method resolution order for multiple inheritance was also adopted with Python 2.3. It is also possible to run custom code while accessing or setting attributes, though the details of those techniques have evolved between Python versions.

  3. Shunting yard algorithm - Wikipedia

    en.wikipedia.org/wiki/Shunting_yard_algorithm

    */ /* This implementation does not implement composite functions, functions with a variable number of arguments, or unary operators. */ while there are tokens to be read: read a token if the token is: - a number: put it into the output queue - a function: push it onto the operator stack - an operator o 1: while ( there is an operator o 2 at the ...

  4. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    The method is based on the observation that, for any integer >, one has: = {() /, /,. If the exponent n is zero then the answer is 1. If the exponent is negative then we can reuse the previous formula by rewriting the value using a positive exponent.

  5. Modular exponentiation - Wikipedia

    en.wikipedia.org/wiki/Modular_exponentiation

    Modular exponentiation is the remainder when an integer b (the base) is raised to the power e (the exponent), and divided by a positive integer m (the modulus); that is, c = b e mod m. From the definition of division, it follows that 0 ≤ c < m. For example, given b = 5, e = 3 and m = 13, dividing 5 3 = 125 by 13 leaves a remainder of c = 8.

  6. Binary expression tree - Wikipedia

    en.wikipedia.org/wiki/Binary_expression_tree

    A binary expression tree is a specific kind of a binary tree used to represent expressions.Two common types of expressions that a binary expression tree can represent are algebraic [1] and boolean.

  7. Bitwise operation - Wikipedia

    en.wikipedia.org/wiki/Bitwise_operation

    Sometimes it is useful to simplify complex expressions made up of bitwise operations, for example when writing compilers. The goal of a compiler is to translate a high-level programming language into the most efficient machine code possible. Boolean algebra is used to simplify complex bitwise expressions.

  8. Peephole optimization - Wikipedia

    en.wikipedia.org/wiki/Peephole_optimization

    Peephole optimization is an optimization technique performed on a small set of compiler-generated instructions, known as a peephole or window, [1] [2] that involves replacing the instructions with a logically equivalent set that has better performance.

  9. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    Multiplication symbols are usually omitted, and implied, when there is no operator between two variables or terms, or when a coefficient is used. For example, 3 × x 2 is written as 3x 2, and 2 × x × y is written as 2xy. [5] Sometimes, multiplication symbols are replaced with either a dot or center-dot, so that x × y is written as either x ...